1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vladimir79 [104]
3 years ago
8

11. At Price Chopper you are purchasing groceries and the bill comes out to be

Mathematics
1 answer:
Vinil7 [7]3 years ago
4 0

9514 1404 393

Answer:

  $181.19

Step-by-step explanation:

The coupon means you will pay 70% of the bill. The tax means you will pay 105.65% of the amount after the coupon is applied. Your final bill is ...

  $245 × 0.70 × 1.0565 ≈ $181.19

_____

Your bill after the coupon is applied will be ...

  bill - 0.30×bill = bill(1 - 0.30) = bill×0.70

The amount after tax is added is ...

  charge + 0.0565×charge = charge(1 +0.0565) = charge×1.0565

Since the final bill is the product of these factors, the order of application does not matter. Conventionally, tax is applied last, so that accounting with the tax collection authority is properly maintained.

You might be interested in
Tay–Sachs Disease Tay–Sachs disease is a genetic disorder that is usually fatal in young children. If both parents are carri
BARSIC [14]

Answer:

a) 0.0156 = 1.56% probability that all children will develop the disease.

b) 0.4219 = 42.19% probability that only one child will develop the disease.

c) 0.1406 = 14.06% probability that the third children will develop the disease, given that the first two did not.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they carry the disease, or they do not. The probability of a children carrying the disease is independent of any other children, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability that their offspring will develop the disease is approximately .25.

This means that p = 0.25

Three children:

This means that n = 3

Question a:

This is P(X = 3). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{3,3}.(0.25)^{3}.(0.75)^{0} = 0.0156

0.0156 = 1.56% probability that all children will develop the disease.

Question b:

This is P(X = 1). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{3,1}.(0.25)^{1}.(0.75)^{2} = 0.4219

0.4219 = 42.19% probability that only one child will develop the disease.

c. The third child will develop Tay–Sachs disease, given that the first two did not.

Third independent of the first two, so just multiply the probabilities.

First two do not develop, each with 0.75 probability.

Third develops, which 0.25 probability. So

p = 0.75*0.75*0.25 = 0.1406

0.1406 = 14.06% probability that the third children will develop the disease, given that the first two did not.

6 0
3 years ago
Ellie is numbering her 150 pages scrapbook. how many times will she write the digit 4? ​
Oksi-84 [34.3K]

Answer:

33 ​

Step-by-step explanation:

4,14,24,34,40,41,42,43,44,45,46,47,48,49,54,64,74,84,94,

104,114,124,134,140,141,142,143,144,145,146,147,148,149

3 0
2 years ago
Equivalent of (17×4)−35
Thepotemich [5.8K]
17 times 4, you get 68. 68 minus 35, your answer is 33
17*4=68
68-35=33
3 0
3 years ago
Solve for k: 3k - 8 = 22.<br><br><br> possible answers:<br> -10<br> 14/3<br> 15<br> 10
exis [7]

Answer:

???

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
The components of vector are given as follows: ax = +6.1 ay = -8.6 the angle measured counterclockwise from the x-axis to vector
r-ruslan [8.4K]

The tangent of the angle is

... tan(α) = ay/ax = -8.6/6.1

Then the angle (measured CCW from +x) is

... α = arctan(-86/61) ≈ 305°

8 0
3 years ago
Other questions:
  • Coordinate plane with triangles EFG and GHI with E at negative 6 comma 2, F at negative 2 comma 6, G at negative 2 comma 2, H at
    10·2 answers
  • Determine whether each x-value is a solution (or an approximate solution) of the equation. 
    5·1 answer
  • Determine if the events listed are independent or dependent.
    9·1 answer
  • A number cube is rolled 60 times. The results of those
    15·2 answers
  • HELP DUE IN 15 MINS! ΔLMN ~ ΔPQR. Which of the following sets of side lengths could be those of ΔLMN?
    12·2 answers
  • How can I solve y^2 + 13y + 12?
    11·2 answers
  • Help<br> Please due now!!!!
    5·2 answers
  • Simplify the expression completely.
    10·1 answer
  • Help! <br>Use algebraic technique of differention to solve for f(x) ​
    9·1 answer
  • The diagram shows a right-angled triangle and a parallelogram.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!